Question

Find values for a and b that make the statement true.
a plus b i equals 7 plus 5 i
Question content area bottom
Part 1
aequals
  
enter your response here ​(Simplify your​ answer.)
Part 2
bequals
  
enter your response here ​(Simplify your​ answer.)

Answer 1

To solve the equation \( a + bi = 7 + 5i \), we need to match the real parts and the imaginary parts on both sides of the equation.

1. **Real parts**: The real part of the left side is \( a \) and the real part of the right side is \( 7 \). Therefore,
\[
a = 7
\]

2. **Imaginary parts**: The imaginary part of the left side is \( b \) and the imaginary part of the right side is \( 5 \). Therefore,
\[
b = 5
\]

Thus, the values are:
- Part 1: \( a = 7 \)
- Part 2: \( b = 5 \)

So, you can enter:
- Part 1: \( a = 7 \)
- Part 2: \( b = 5 \)